Shapley's value for fuzzy games

Abstract

This is the continuation of a previous article titled “Fuzzy Games”, where I defined a new type of games based on the Multilinear extensions f, of characteristic functions v for cooperative games. We showed that f fulfills the definition of characteristic functions and most of standard theorems for cooperative games also hold for this new type of games: The fuzzy games. Now we give some other properties and the extension of the definition of Shapley’s Value for Fuzzy Games